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Finding the Fourth Proportional to 471,578.04, 706,940.40 and 171,988.44

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Solution

The fourth proportional to 471,578.04, 706,940.40 and 171,988.44 is: 257,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,578.04 : 706,940.40 = 171,988.44 : x
  2. Step 2: Convert to fraction form
    471,578.04/706,940.40 = 171,988.44/x
  3. Step 3: Cross multiply
    471,578.04x = 706,940.40 × 171,988.44
  4. Step 4: Simplify right side
    471,578.04x = 121,585,576,568.98
  5. Step 5: Solve for x
    x = 121,585,576,568.98/471,578.04
  6. Step 6: Final answer
    x = 257,827.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.